Stability in the energy space of the sum of N peakons for the Degasperis-Procesi equation

作者:Kabakouala Andre*
来源:Journal of Differential Equations, 2015, 259(5): 1841-1897.
DOI:10.1016/j.jde.2015.03.014

摘要

The Degasperis-Procesi equation possesses well-known peaked solitary waves that are called peakons. Their stability has been established by Lin and Liu in [5]. In this paper, we localize the proof (in some suitable sense detailed in Section 3) of the stability of a single peakon. Thanks to this, we extend the result of stability to the sum of N peakons traveling to the right with respective speeds c(1), . . . , c(N), such that the difference between consecutive locations of peakons is large enough.

  • 出版日期2015-9-5